On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
From MaRDI portal
Publication:3628304
DOI10.1051/cocv:2008038zbMath1171.49017OpenAlexW2120866444MaRDI QIDQ3628304
Publication date: 19 May 2009
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/245961
optimal controlpointwise state constraintsparabolic differential equationsLavrentiev-type regularization
Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Linear-quadratic optimal control problems (49N10)
Related Items
A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions ⋮ Numerical resolution of optimal control problem for the in-stationary Navier-Stokes equations ⋮ Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem ⋮ Error estimates for parabolic optimal control problems with control and state constraints ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ Numerical Analysis of State-constrained Optimal Control Problems for PDEs ⋮ Optimal control of measure dynamics ⋮ Necessary optimality conditions for infinite dimensional state constrained control problems ⋮ Iterative method for solving parabolic linear-quadratic optimal control problem with constraints on the time derivative of the state ⋮ Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment ⋮ An ADMM numerical approach to linear parabolic state constrained optimal control problems ⋮ Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques ⋮ New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints ⋮ A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
- Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice
- Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
- Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
- Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
- Primal-dual strategy for state-constrained optimal control problems
- The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
- Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- Optimal Control Problems with Mixed Control-State Constraints
- A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
- Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
- Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints
- On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- Primal-Dual Strategy for Constrained Optimal Control Problems
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
- On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints
- On two numerical methods for state-constrained elliptic control problems
- Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints
